Exams › IBPS PO › Quantitative Aptitude

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

1. 210
2. 1050
3. 25200
4. 21400

Correct answer: 25200

Solution

Choose 3 consonants from 7 and 2 vowels from 4, then arrange the 5 chosen letters. So the number of words = C(7,3) × C(4,2) × 5! = 35 × 6 × 120 = 25200.

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